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Finding the Third Proportional to 311,992 and 479,254

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Solution

The third proportional to 311,992 and 479,254 is: 736,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,992 : 479,254 = 479,254 : x
  2. Step 2: Convert to fraction form
    311,992/479,254 = 479,254/x
  3. Step 3: Cross multiply
    311,992x = 479,254 × 479,254
  4. Step 4: Simplify right side
    311,992x = 229,684,396,516
  5. Step 5: Solve for x
    x = 229,684,396,516/311,992
  6. Step 6: Final answer
    x = 736,186.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.